English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we propose a finite Toda lattice of CKP type (C-Toda) togetherwith a Lax pair. Our motivation is based on the fact that the Camassa-Holm (CH)peakon dynamical system and the finite Toda lattice may be regarded as oppositeflows in some sense. As an intriguing analogue to the CH equation, theDegasperis-Procesi (DP) equation also supports the presence of peakonsolutions. Noticing that the peakon solution to the DP equation is expressed interms of bimoment determinants related to the Cauchy kernel, we impose oppositetime evolution on the moments and derive the corresponding bilinear equation.The corresponding quartic representation is shown to be a continuum limit of adiscrete CKP equation, due to which we call the obtained equation finite Todalattice of CKP type. Then, a nonlinear version of the C-Toda lattice togetherwith a Lax pair is derived. As a result, it is shown that the DP peakon latticeand the finite C-Toda lattice form opposite flows under certain transformation.

Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type